Gravitational Dressing of N=2 Sigma-Models Beyond Leading Order

TL;DR

This paper investigates higher-order quantum corrections to N=2 sigma-models coupled with supergravity, revealing new contributions from dilaton coupling that extend beyond one-loop calculations.

Contribution

It provides the first computation of corrections beyond one-loop in N=2 sigma-models coupled to supergravity, highlighting the role of dilaton contributions.

Findings

Identifies new contributions from dilaton coupling in the beta-function.

Extends semiclassical analysis beyond leading order.

Shows differences from purely bosonic sigma-model calculations.

Abstract

We study the beta-function of the N=2 sigma-model coupled to N=2 induced supergravity. We compute corrections to first order in the semiclassical limit, $c \to -\infty$, beyond one-loop in the matter fields. As compared to the corresponding bosonic, metric sigma-model calculation, we find new types of contributions arising from the dilaton coupling automatically accounted for, once the K\"ahler potential is coupled to N=2 supergravity.